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Finding the Fourth Proportional to 413.61, 620.24 and 124.98

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Solution

The fourth proportional to 413.61, 620.24 and 124.98 is: 187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.61 : 620.24 = 124.98 : x
  2. Step 2: Convert to fraction form
    413.61/620.24 = 124.98/x
  3. Step 3: Cross multiply
    413.61x = 620.24 × 124.98
  4. Step 4: Simplify right side
    413.61x = 77,516.97
  5. Step 5: Solve for x
    x = 77,516.97/413.61
  6. Step 6: Final answer
    x = 187.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.